{"id":"https://openalex.org/W2991298051","doi":"https://doi.org/10.1115/detc2019-98000","title":"Checking the Automated Construction of Finite Element Simulations From Dirichlet Boundary Conditions","display_name":"Checking the Automated Construction of Finite Element Simulations From Dirichlet Boundary Conditions","publication_year":2019,"publication_date":"2019-08-18","ids":{"openalex":"https://openalex.org/W2991298051","doi":"https://doi.org/10.1115/detc2019-98000","mag":"2991298051"},"language":"en","primary_location":{"id":"doi:10.1115/detc2019-98000","doi":"https://doi.org/10.1115/detc2019-98000","is_oa":false,"landing_page_url":"https://doi.org/10.1115/detc2019-98000","pdf_url":null,"source":{"id":"https://openalex.org/S7407096944","display_name":"ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310321320","host_organization_name":"American Society of Mechanical Engineers","host_organization_lineage":["https://openalex.org/P4310321320"],"host_organization_lineage_names":["American Society of Mechanical Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Volume 2A: 45th Design Automation Conference","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076936962","display_name":"Kevin N. Chiu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin N. Chiu","raw_affiliation_strings":["University of Maryland, College Park, MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park, MD","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036788329","display_name":"Mark Fuge","orcid":"https://orcid.org/0000-0003-3819-8895","observed_orcids":["https://orcid.org/0000-0003-3819-8895"]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark D. Fuge","raw_affiliation_strings":["University of Maryland, College Park, MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park, MD","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.2904,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6970754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.8159000277519226,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.8159000277519226,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.06970000267028809,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.023399999365210533,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dirichlet-boundary-conditions","display_name":"Dirichlet boundary conditions","score":0.9990000128746033},{"id":"https://openalex.org/keywords/weak-formulation","display_name":"variational formulation","score":0.9869999885559082},{"id":"https://openalex.org/keywords/fenics","display_name":"FEniCS","score":0.9470000267028809},{"id":"https://openalex.org/keywords/multiphysics-simulation","display_name":"multiphysics simulation","score":0.8220000267028809},{"id":"https://openalex.org/keywords/topology-optimization","display_name":"topology optimization","score":0.6840000152587891},{"id":"https://openalex.org/keywords/generative-design","display_name":"generative design","score":0.9330000281333923}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7846741676330566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6384947896003723},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5679298043251038},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49575385451316833},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4742029011249542},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4241587817668915},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3790701627731323},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35587000846862793},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32691073417663574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22494742274284363},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1612420678138733},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1244814395904541},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/detc2019-98000","doi":"https://doi.org/10.1115/detc2019-98000","is_oa":false,"landing_page_url":"https://doi.org/10.1115/detc2019-98000","pdf_url":null,"source":{"id":"https://openalex.org/S7407096944","display_name":"ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310321320","host_organization_name":"American Society of Mechanical Engineers","host_organization_lineage":["https://openalex.org/P4310321320"],"host_organization_lineage_names":["American Society of Mechanical Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Volume 2A: 45th Design Automation Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4399538295","https://openalex.org/W2187299682","https://openalex.org/W7100422581","https://openalex.org/W4245391686","https://openalex.org/W7098670978","https://openalex.org/W7064326529","https://openalex.org/W2498832965","https://openalex.org/W2084041252","https://openalex.org/W7125466563","https://openalex.org/W3184133321"],"abstract_inverted_index":{"Abstract":[0],"From":[1],"engineering":[2],"analysis":[3],"and":[4,10,114,118,143,209],"topology":[5,225],"optimization":[6,226],"to":[7,27,67,73,86,148,151,213],"generative":[8],"design":[9,16],"machine":[11],"learning,":[12],"many":[13,228],"modern":[14],"computational":[15],"approaches":[17],"require":[18],"either":[19],"large":[20],"amounts":[21],"of":[22,45,64,77,89,99,125,133,177,188,205,217,224],"data":[23,40,210],"or":[24,70,220],"a":[25,74,100,134,144,153,185],"method":[26],"generate":[28,113],"that":[29,96,111,128,171,180],"data.":[30],"This":[31,191],"paper":[32],"addresses":[33],"key":[34],"issues":[35],"with":[36],"automatically":[37,183],"generating":[38],"such":[39],"through":[41],"automating":[42,59,90],"the":[43,65,91,130,162,175,197,222],"construction":[44,204],"Finite":[46],"Element":[47],"Method":[48],"(FEM)":[49],"simulations":[50,179,208],"from":[51,184],"Dirichlet":[52],"boundary":[53,139,189],"conditions.":[54,190],"Most":[55],"past":[56],"work":[57],"on":[58],"FEM":[60,155,206],"assumes":[61],"prior":[62],"knowledge":[63],"physics":[66,218],"be":[68],"run":[69,182,214],"is":[71],"limited":[72],"small":[75],"number":[76],"governing":[78,126],"equations.":[79],"In":[80],"contrast,":[81],"we":[82],"propose":[83],"three":[84,131],"improvements":[85,160,173],"current":[87],"methods":[88],"FEM:":[92],"(1)":[93],"completeness":[94],"labels":[95,107,121],"guarantee":[97],"viability":[98],"simulation":[101,135],"under":[102,227],"specific":[103],"conditions,":[104,140],"(2)":[105],"type-based":[106,120],"for":[108,122,196],"solution":[109,116,141],"fields":[110],"robustly":[112],"identify":[115],"fields,":[117,142],"(3)":[119],"variational":[123,145],"forms":[124],"equations":[127],"map":[129],"components":[132],"set":[136],"\u2014":[137,147,199,203],"specifically,":[138],"form":[146,152],"each":[149],"other":[150],"viable":[154,178],"simulation.":[156],"We":[157,169],"implement":[158],"these":[159],"using":[161],"FEniCS":[163],"library":[164],"as":[165],"an":[166],"example":[167],"case.":[168],"show":[170],"our":[172],"increase":[174],"percent":[176],"are":[181],"given":[186],"list":[187],"paper\u2019s":[192],"procedures":[193],"ultimately":[194],"allow":[195],"automatic":[198],"i.e.,":[200],"fully":[201],"computer-controlled":[202],"multi-physics":[207],"collection":[211],"required":[212],"data-driven":[215],"models":[216],"phenomena":[219],"automate":[221],"exploration":[223],"physics.":[229]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2019-12-05T00:00:00"}
